Enviar artigo por via de e-mail NONSTATIONARY VENTTSEL PROBLEM WITH VMOx LEADING COEFFICIENTS
- Autores: Apushkinskaya D.1,2, Nazarov A.1,3, Palagachev D.4, Softova L.5
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Afiliações:
- St. Petersburg Department of V.A. Steklov Mathematical Institute
- Peoples’ Friendship University of Russia (RUDN University)
- St. Petersburg State University
- Polytechnic University of Bari
- University of Salerno
- Edição: Volume 510, Nº 1 (2023)
- Páginas: 13-17
- Seção: МАТЕМАТИКА
- URL: https://journals.rcsi.science/2686-9543/article/view/134354
- DOI: https://doi.org/10.31857/S2686954322600707
- EDN: https://elibrary.ru/XHKPGG
- ID: 134354
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Somente assinantes
Resumo
We obtain some new results on strong solvability in the Sobolev spaces of the linear Venttsel initial-boundary value problems to parabolic equations with discontinuous leading coefficients.
Sobre autores
D. Apushkinskaya
St. Petersburg Department of V.A. Steklov Mathematical Institute; Peoples’ Friendship University of Russia (RUDN University)
Autor responsável pela correspondência
Email: apushkinskaya@gmail.com
Russian Federation, St. Petersburg; Russian Federation, Moscow
A. Nazarov
St. Petersburg Department of V.A. Steklov Mathematical Institute; St. Petersburg State University
Autor responsável pela correspondência
Email: al.il.nazarov@gmail.com
Russian Federation, St. Petersburg; Russian Federation, St. Petersburg
D. Palagachev
Polytechnic University of Bari
Autor responsável pela correspondência
Email: dian.palagachev@poliba.it
Italy, Bari
L. Softova
University of Salerno
Autor responsável pela correspondência
Email: lsoftova@unisa.it
Italy, Fisciano
Bibliografia
- Вентцель А.Д. О граничных условиях для многомерных диффузионных процессов // Теория вероятн. и ее примен. 1959. Т. 4. № 2. С. 172–185.
- Apushkinskaya D.E., Nazarov A.I. A survey of results on nonlinear Venttsel problems // Appl. Math. 2000. V. 45. № 1. P. 69–80.
- Apushkinskaya D.E., Nazarov A.I., Palagachev D.K., Softova L.G. Venttsel boundary value problems with discontinuous data // SIAM J. Math. Anal. 2021. V. 53. № 1. P. 221–252.
- Chiarenza F., Frasca M., Longo P. W2,p-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients // Trans. Amer. Math. Soc. 1993. V. 336. № 2. P. 841–853.
- Maugeri A., Palagachev D.K., Softova L.G. Elliptic and parabolic equations with discontinuous coefficients, volume 109 of Mathematical Research. Wiley-VCH Verlag Berlin GmbH, Berlin, 2000.
- Krylov N.V. Lectures on elliptic and parabolic equations in Sobolev spaces, volume 96 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2008.
- Dong H., Kim D. On the Lp-solvability of higher order parabolic and elliptic systems with BMO coefficients // Arch. Ration. Mech. Anal. 2011. V. 199. № 3. P. 889–941.
- Апушкинская Д.Е., Назаров А.И. Начально-краевая задача с граничным условием Вентцеля для недивергентных параболических уравнений // Алгебра и анализ. 1994. Т. 6. № 6. С. 1–29.
- John F., Nirenberg L. On functions of bounded mean oscillation // Comm. Pure Appl. Math. 1961. V. 14. P. 415–426.
- Sarason D. Functions of vanishing mean oscillation // Trans. Amer. Math. Soc. 1975. V. 207. P. 391–405.
- Бесов О.В., Ильин В.П., Никольский С.М. Интегральные представления функций и теоремы вложения. Наука, М., 1996. 2-е изд., перераб. и доп.
- Krylov N.V. On parabolic Adams’s, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces // Math. Eng. 2023. V. 5. № 2. P. 1–20.
